Jul 10, 2018 · Abstract:The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is achieved to within a universal, ...

In this article, we describe the origin and consequences of the Kannan-. Lovász-Simonovits (KLS) conjecture, which now plays a central role in con- vex geometry ...

Dec 29, 2017 · The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is achieved to within a universal, dimension- ...

Dec 21, 2020 · The KLS conjecture asserts that up to a universal constant independent from the dimension the Cheeger constant is realized by separating K with ...

Jul 10, 2018 · Abstract. The Kannan-Lovász-Simonovits conjecture says that the Cheeger constant of any logconcave density is.

Duration: 1:04:43
Posted: Oct 14, 2021

The first two are theorems due to Eldan-Klartag and Ball-Nguyen, relating the variance and the KLS conjectures, respectively, to the hyperplane conjecture.

Our paper gives the first Buser-type inequality on all probability densities, including discontinuous ones. Past Buser inequalities on densities relied on ...

Duration: 1:08:01
Posted: Oct 14, 2021

May 3, 2022 · with V : Rn → R ∪ {+∞} convex is called log-concave. This class contains the class of uniform measures on convex sets.